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Finding the Fourth Proportional to 2,047.17, 3,065.24 and 1,071.21

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Solution

The fourth proportional to 2,047.17, 3,065.24 and 1,071.21 is: 1,603.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.17 : 3,065.24 = 1,071.21 : x
  2. Step 2: Convert to fraction form
    2,047.17/3,065.24 = 1,071.21/x
  3. Step 3: Cross multiply
    2,047.17x = 3,065.24 × 1,071.21
  4. Step 4: Simplify right side
    2,047.17x = 3,283,510.38
  5. Step 5: Solve for x
    x = 3,283,510.38/2,047.17
  6. Step 6: Final answer
    x = 1,603.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.